Volume and Radius: Cylinder and Sphere Challenges for 7th Grade

A cylindrical water tank has a radius of 3 meters and a height of 5 meters. What is the volume of the tank?

• 141.37 cubic meters

• 78.54 cubic meters

• 94.25 cubic meters

• 28.27 cubic meters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone-shaped ice cream cone has a radius of 2 inches and a height of 6 inches. Calculate the volume of the ice cream cone.

• 8π cubic inches

• 10π cubic inches

• 6π cubic inches

• 4π cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A sphere has a volume of 904.32 cubic centimeters. What is the radius of the sphere? (Use 3.14 for π)

• 7.5 cm

• 5.0 cm

• 8.0 cm

• 6.0 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical can has a height of 10 cm and a volume of 500 cm³. What is the radius of the can?

• 2.5 cm

• 3.99 cm

• 5.0 cm

• 4.5 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a volume of 150 cubic meters and a radius of 5 meters. What is the height of the cone?

• 5.73 meters

• 4.25 meters

• 7.50 meters

• 6.10 meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A spherical balloon has a radius of 4 inches. What is the volume of the balloon? (Use 3.14 for π)

• 200.00 cubic inches

• 314.00 cubic inches

• 150.80 cubic inches

• 267.95 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical storage tank has a volume of 1,000 liters and a height of 2 meters. What is the radius of the tank? (1 liter = 1,000 cm³)

• 22.4 cm

• 10 cm

• 30 cm

• 15 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a height of 12 cm and a volume of 100 cm³. What is the radius of the base of the cone?

• 1.50 cm

• 3.14 cm

• 5.00 cm

• 2.82 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A sphere is inscribed in a cube with a side length of 10 cm. What is the volume of the sphere? (Use 3.14 for π)

• 314.00 cm³

• 1000.00 cm³

• 523.33 cm³

• 418.67 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical pipe has a radius of 0.5 meters and a height of 8 meters. What is the volume of the pipe?

• 3.14 cubic meters

• 12.56 cubic meters

• 10.5 cubic meters

• 6.28 cubic meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3